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Operator Theory: Advances and Applications

Stability of Operators and Operator Semigroups

Authors: Eisner, Tanja

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  • Offers joint treatment of discrete and continuous systems
  • Presents a careful investigation of the behavior with respect to different topologies on infinite dimensional spaces
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eBook 83,29 €
price for Spain (gross)
  • ISBN 978-3-0346-0195-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 103,99 €
price for Spain (gross)
  • ISBN 978-3-0346-0194-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 103,99 €
price for Spain (gross)
  • ISBN 978-3-0348-0311-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

This book is about stability of linear dynamical systems, discrete and continuous. More precisely, we discuss convergence to zero of strongly continuous semigroups of operators and of powers of a bounded linear operator, both with respect to different topologies. The discrete and the continuous cases are treated in parallel, and we systematically employ a comparison of methods and results in either case. Apart from classical results, many recent crucial developments in the area are presented, such as the resolvent approach to stability. Special attention is payed to stability with respect to the weak operator topology. We also connect stability in operator theory to its analogues in ergodic theory and harmonic analysis. The book is addressed to all researchers and graduate students interested in this field.

Reviews

From the book reviews:

“This nice volume gives a good introduction to the asymptotic behaviour of linear dynamical systems. … This volume leads to the frontiers of recent research in a rapidly developing area of mathematics. It can be warmly recommended to researchers and graduate students interested in this field.” (László Kérchy, Acta Scientiarum Mathematicarum (Szeged), Vol. 78 (1-2), 2012)

“The author’s aim is to emphasise similarities between the discrete and continuous cases. … A reader who is new to the subject might prefer that the book included more motivational discussions … . the mathematical arguments throughout the book are presented in a style that makes them easy to follow. … it has value as a convenient reference text for comparison of the discrete and continuous cases of stability in operator theory and for exposition of links to ergodic theory.” (C. J. K. Batty, Mathematical Reviews, Issue 2011 f)

Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook 83,29 €
price for Spain (gross)
  • ISBN 978-3-0346-0195-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 103,99 €
price for Spain (gross)
  • ISBN 978-3-0346-0194-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 103,99 €
price for Spain (gross)
  • ISBN 978-3-0348-0311-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Stability of Operators and Operator Semigroups
Authors
Series Title
Operator Theory: Advances and Applications
Series Volume
209
Copyright
2010
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Basel
eBook ISBN
978-3-0346-0195-5
DOI
10.1007/978-3-0346-0195-5
Hardcover ISBN
978-3-0346-0194-8
Softcover ISBN
978-3-0348-0311-3
Series ISSN
0255-0156
Edition Number
1
Number of Pages
VII, 204
Number of Illustrations
8 b/w illustrations
Topics